221312838384 has 400 divisors, whose sum is σ = 707804697600. Its totient is φ = 66204864000.

The previous prime is 221312838371. The next prime is 221312838421. The reversal of 221312838384 is 483838213122.

221312838384 is a `hidden beast` number, since 2 + 213 + 1 + 28 + 38 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 513486649 + ... + 513487079.

It is an arithmetic number, because the mean of its divisors is an integer number (1769511744).

Almost surely, 2^221312838384 is an apocalyptic number.

221312838384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221312838384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353902348800).

221312838384 is an abundant number, since it is smaller than the sum of its proper divisors (486491859216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221312838384 is a wasteful number, since it uses less digits than its factorization.

221312838384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 221312838384 in words is "two hundred twenty-one billion, three hundred twelve million, eight hundred thirty-eight thousand, three hundred eighty-four".